I've made a mistake: I've unchecked the kW and KVA profiles on the "Advanced meter settings" from 29 March to 4 April.

Is there a way to get the information from those days back onto the profile display?

Yes. You set back the 'Meter Read In Up To' date under 'Edit->MeterDetails', to a time before the missing/wrong profile. The meter will then automatically read in the next (5 minutes after the end of a) half hour, because it is 'out of date' (or you can go to Communication monitor and kick off the read yourself).
This feature on 'Advanced meter settings' was put in to accommodate people that only want to pay for a specific number of channels, e.g. only wanting to read only kWh on single phase AS230 meters, which also has Reactive energy available, and therefore only paying 1 channel for the month, and not two.